Abstract
Construction of orthogonal designs (ODs) has received much attention over the past decades, where previous work was originated from either mathematical theory or algorithmic search. A new algorithm is proposed to construct symmetric ODs. It is established on a well-designed framework of sequential construction, combining the deep Q-network (DQN) and orthogonal complementary design (OCD). The DQN-OCD algorithm shows its superiority by constructing various non-isomorphic ODs in an efficient manner. In particular, the constructions of symmetric ODs, including the saturated ODs L27(313), L28(227) and non-saturated ODs L18(37), L36(313) are presented, where the performance of DQN-OCD algorithm surpasses the others. Furthermore, a series of previously unknown ODs in non-isomorphic subclasses of L28(227) and L36(313) are constructed as new collections of ODs.
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